Tritonic | Tetratonic | Pentatonic | Hexatonic | Heptatonic | Nonatonic | Decatonic | Undecatonic | Dodecatonic | 13-tone | 14-tone | 15-tone | 16-tone | 17-tone | 19-tone | 22-tone | 31-tone | Fifth-repeating wakalixes | Divisions of the Tetrachord | Music A wakalix is a Fokker block which is a Fokker block in more than one way, so that it belongs in more than one arena. A Fokker block is a JI scale in a JI group of rank r, such that there are r-1 rank two temperaments which temper it to a MOS. If there are more than r-1 such temperaments, we have a wakalix, if there are more than r, it is a superwakalix; some of both kinds are cataloged below. An ordinary wakalix, which generates a rank r JI group and has exactly r different rank two temperaments tempering it to a MOS, is sometimes called an r-wakalix (triple wakalix, quadruple wakalix, etc.)

Tritonic

major and minor triads

Tetratonic

addedsixth

Super8-wakalixes

major and minor tetrads
supermajor and subminor tetrads

Pentatonic

fathbugmean1
fathbugmean2
otonalpentad
utonalpentad
bluesemarch1
bluesemarch2

Hexatonic

ternessbabdec

Heptatonic

dimeanmav1
dimeanmav2
dimeanporc
dimavenipu
poole
waka3-7-17
jademohaporc
ochmohaporc

8-wakalixes

dudon_mohajira117

54-wakalixes

oheptad
uheptad

Nonatonic

mavlim scales

Decatonic

line10
cx4

Undecatonic

cxi1
cxi2
cxi3
cxi4

Dodecatonic

biggulp
meansruhelm
prism
thirteendene
wilson_class
augdimhextrug
parizek-miller hexagon
ramis
hahnZ

Superwakalixes

domdimpajinjmean
domdimpajinjschis
collapsar

13-tone

dwarf13_7d

Superwakalix

supertriskaideka

14-tone

parrot

15-tone

blackopkeegil1
blackopkeegil2
primewak15

16-tone

Supersuperwakalix

supersuper16

17-tone

cartwheel
parizekhex
wilcent17

19-tone

godmeankeeflat1
godmeankeeflat2
godmeankeeflat3
semmeanflat1
semmeanflat2

Superwakalix

superclipgenus19

22-tone

pajhedgepythquas1
pajhedgepythquas2

Superwakalix

hppshq

31-tone

Superwakalix

meansqunumigpopmo

Fifth-repeating wakalixes

superfif7a
superfif7b

Divisions of the Tetrachord

dicot-meantone tetrachord arena
dominant-diminished-pajara tetrachord arena
august-pajara-augene tetrachord arena

Music

Improvisational wakalix survey by Chris Vaisvil
Supersuperwakalix16 by Billy Stiltner